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Finding the Fourth Proportional to 260,306.66, 390,014.37 and 142,061.06

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Solution

The fourth proportional to 260,306.66, 390,014.37 and 142,061.06 is: 212,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,306.66 : 390,014.37 = 142,061.06 : x
  2. Step 2: Convert to fraction form
    260,306.66/390,014.37 = 142,061.06/x
  3. Step 3: Cross multiply
    260,306.66x = 390,014.37 × 142,061.06
  4. Step 4: Simplify right side
    260,306.66x = 55,405,852,867.36
  5. Step 5: Solve for x
    x = 55,405,852,867.36/260,306.66
  6. Step 6: Final answer
    x = 212,848.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.